A355218
identification: the entry's rule defines the sequence for every index; tail: the sequence is the entry's tail after some prefix rows; match_*: finite agreement only.
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A225472: Triangle read by rows, k!*S_3(n, k) where S_m(n, k) are the Stirling-Frobenius subset numbers of order m; n >= 0, k >= 0.
(match row sums)
1 · 2, 3 · 4, 21, 18 · 8, 117, 270, 162 … row sums 1, 5, 43, 557, 9643, 208685, 5419243, …